Triple
T21858389
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Artin’s conjecture on L-functions |
E539691
|
entity |
| Predicate | specialCaseProvedFor |
P78876
|
FINISHED |
| Object | two-dimensional odd Galois representations over Q with solvable image |
—
|
LITERAL FINISHED |
How this triple was built (2 steps)
Every LLM step that produced this triple, in pipeline order — named-entity classification, the disambiguation choices (the exact options shown, with the pick highlighted), and the generated description. The batch + timestamp of each is in the Provenance table below.
NER
Named-entity recognition
gpt-5-mini
Instruction
Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).
Input
Phrase: two-dimensional odd Galois representations over Q with solvable image | Statement: [Artin’s conjecture on L-functions, specialCaseProvedFor, two-dimensional odd Galois representations over Q with solvable image]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: specialCaseProvedFor Context triple: [Artin’s conjecture on L-functions, specialCaseProvedFor, two-dimensional odd Galois representations over Q with solvable image]
-
A.
specialCaseOf
Indicates that one entity represents a more specific, exceptional, or restricted instance of the general situation, rule, or relationship expressed by another entity.
-
B.
partiallyProvenFor
chosen
Indicates that something has been shown to hold or be true for part of a domain or set of cases, but not yet for all cases.
-
C.
provedInFullBy
Indicates that something (such as a claim, theorem, or statement) has been completely and rigorously demonstrated or established by a particular agent or source.
-
D.
proved
Indicates that one entity has demonstrated the truth or validity of another entity (such as a statement, theorem, or claim) through logical or evidential means.
-
E.
typicalProofUses
Indicates that a proof characteristically or commonly employs a particular method, technique, or component.
- F. None of above.
Provenance (3 batches)
The batch behind each pipeline step, in order, with when it ran. Timestamps are batch-level — stages were processed in waves, so the object chain (NER → NED1 → NEDg → NED2) reads in order, but predicate / elicitation batches can sit in a different wave.
| Step | Stage | Batch ID | Status | When |
|---|---|---|---|---|
| creating | Elicitation | batch_69e0c47829648190bbe2d1d7033768ec |
completed | April 16, 2026, 11:14 a.m. |
| NER | Named-entity recognition | batch_69f0d638721c8190918fc6ad9c5d5bf6 |
completed | April 28, 2026, 3:46 p.m. |
| PD | Predicate disambiguation | batch_69e6be9394f88190945ddd1dc004d29d |
completed | April 21, 2026, 12:02 a.m. |
Created at: April 16, 2026, 6:56 p.m.